Abstract

In this chapter, the subject of synchronization is introduced and discussed considering the effects due to network topology. The chapter is organized as follows: (a) after a brief recap of a method due to Pecora and Carroll for checking the conditions for identical synchronization, several of the most popular topologies are considered, showing their influence on network synchronizability; (b) a technique, useful to find out the onset of synchronization in network of periodic oscillators is described in detail; (c) some simulation examples are given; (d) the case of synchronization in networks of nearly identical oscillators is illustrated by examples.

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